Afruit punch recipe calls for 3 parts of apple juice to 4 parts of cranberry juice. How many liters of cranberry juice should be added to 4.5 L of apple juice?

Jul 25, 2018

you must add $6$ litres of cranberry juice

Explanation:

"A fruit punch recipe calls for 3 parts of apple juice to 4 parts of cranberry juice"

Meaning: For every 3 litres of apple juice, you must add 4 litres of cranberry juice. That means if you add 6 litres of apple juice, then you must add 8 litres of cranberry juice

Now, if you add 4.5 litres of apple juice, you can think of it this way

$3 \text{ apple juice" : 4" cranberry juice}$
$4.5 \text{ apple juice": x" cranberry juice}$

$x = \frac{4.5 \times 4}{3}$
$x = \frac{18}{3}$
$x = 6$

Therefore, you must add $6$ litres of cranberry juice

Jul 25, 2018

$6$ liter of cranberry juice.

Explanation:

As $3$ parts of apple juice are added to $4$ parts of cranberry juice

and $4.5$ liter of apple juice means each of three parts are

$\frac{4.5}{3} = 1.5$ liter

and one needs $4$ parts of cranberry juice i.e.

$4 \times 1.5$ liter or $6$ liter of cranberry juice.